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Finding the Fourth Proportional to 104,249.89, 156,253.86 and 47,971.85

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Solution

The fourth proportional to 104,249.89, 156,253.86 and 47,971.85 is: 71,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,249.89 : 156,253.86 = 47,971.85 : x
  2. Step 2: Convert to fraction form
    104,249.89/156,253.86 = 47,971.85/x
  3. Step 3: Cross multiply
    104,249.89x = 156,253.86 × 47,971.85
  4. Step 4: Simplify right side
    104,249.89x = 7,495,785,952.57
  5. Step 5: Solve for x
    x = 7,495,785,952.57/104,249.89
  6. Step 6: Final answer
    x = 71,902.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.